Grouchy old political scientist here:

1. Due to geographic sorting smaller districts would be more intensely partisan than today, not less. A smaller land mass is going to be more deeply blue or red

2. A gigantic house would be less cacophonous and boisterous, not more so, because you'd need more hands-on party control to get anything done. It's deeply unrealistic that a huge mass of representatives are going to get anything passed on their own. You'd end up even closer to parliamentary-style party leader control of the House, which personally I'd like to avoid.

Combining these two points, you'd have even more ideologically intense & disciplined parties with smaller districts/a larger House- the exact opposite of what you're trying to achieve I think

3. 'Objections based on convenience and space, are not serious in terms of the meaning of the House' this would be news to say Germany, which recently ended its famous 70+ year old MMP system precisely because their lower house kept expanding too much. They found the issue logistically too difficult to deal with, and are now moving to a more classic PR setup

Bonus extra point- the UK already has one of the world's largest lower houses, with relatively small districts and lots of local representation. Is the UK particularly well-governed, do you think? Small single member districts are rent-seeking machines- way too easy for a local rep to get captured by Major Local Employer (or NIMBY group)

It'd be interesting to run some numerical simulations to see at what number of Reps coordination becomes unfeasible or leads to perennial grid-lock. The Senate, on the other hand, is the "saucer" for the hot tea of the Lower House. Back in the day, people would pour tea from the tea cup straight into the saucer to cool it down, and sup from the saucer directly. Which means that the saucer "cooled down" the ferocity and fiery intensity of the "discussions" in the Lower House. Does this relationship still hold if the Lower House is significantly more populated? Probably. But that might also be worth investigating.